Finding the Third Proportional to 27,748 and 59,466

Step by Step Solution

1. Step 1: Write the proportion equation
   27,748 : 59,466 = 59,466 : x
2. Step 2: Convert to fraction form
   27,748/59,466 = 59,466/x
3. Step 3: Cross multiply
   27,748x = 59,466 × 59,466
4. Step 4: Simplify right side
   27,748x = 3,536,205,156
5. Step 5: Solve for x
   x = 3,536,205,156/27,748
6. Step 6: Final answer
   x = 127,440.00